Results 51 to 60 of about 735 (92)

Growth and breakup of ligaments in unsteady fragmentation

Journal of Fluid Mechanics, 2021
We elucidate the physics underlying the birth, evolution and breakup of ligaments on a rim bounding an unsteady liquid sheet. This rim destabilizes into corrugations that can grow into ligaments, which in turn, break into secondary droplets via end ...
Y. Wang, L. Bourouiba
semanticscholar   +1 more source

Stability of p‐parabolicity under quasi‐isometries

Mathematische Nachrichten, 2022
Kanai proved the stability under quasi‐isometries of numerous global properties (including existence of Green's function, i.e., non‐parabolicity) between Riemannian manifolds of bounded geometry.
A. Granados, D. Pestana, A. Portilla, José M. Rodríguez   +3 more
semanticscholar   +1 more source

Global Convergence Guarantees of Iterative Algorithms for Unitary Quantum Channel Search

International Journal of Academic and Industrial Research Innovations(IJAIRI), 2021
: Unitary quantum channels underpin calibration, verification, and control in quantum information processing, but identifying the underlying unitary from experimental data is impeded by nonconvex objectives, noise, and state-preparation-and-measurement ...
Murali Krishna Pasupuleti
semanticscholar   +1 more source

Evolution equations in Riemannian geometry

, 2011
A fundamental question in Riemannian geometry is to find canonical metrics on a given smooth manifold. In the 1980s, R.S. Hamilton proposed an approach to this question based on parabolic partial differential equations.
S. Brendle
semanticscholar   +1 more source

Score-based pullback Riemannian geometry

International Conference on Machine Learning
Data-driven Riemannian geometry has emerged as a powerful tool for interpretable representation learning, offering improved efficiency in downstream tasks.
Willem Diepeveen, Georgios Batzolis, Zakhar Shumaylov, C. Schönlieb   +3 more
semanticscholar   +1 more source

A Novel Riemannian Conjugate Gradient Method on Quaternion Stiefel Manifold for Computing Truncated Quaternion Singular Value Decomposition

Numerical Linear Algebra with Applications
A novel Riemannian conjugate gradient method on the quaternion Stiefel manifold is presented to solve the truncated quaternion singular value decomposition (QSVD) problem.
Baohua Huang, Zhigang Jia, Wen Li
semanticscholar   +1 more source

Analysis, Geometry and Topology of Positive Scalar Curvature Metrics

Oberwolfach Reports, 2018
Riemannian manifolds with positive scalar curvature play an important role in mathematics and general relativity. Obstruction and existence results are connected to index theory, bordism theory and homotopy theory, using methods from partial differential
B. Ammann, B. Hanke, A. Neves
semanticscholar   +1 more source

Nonexistence of solutions to classes of parabolic inequalities in the Riemannian setting

Journal of the London Mathematical Society
We establish conditions for nonexistence of global solutions for a class of quasilinear parabolic problems with a potential on complete, non‐compact Riemannian manifolds, including the Porous Medium Equation and the p‐Laplacian with a potential term. Our
Dorothea‐Enrica von Criegern, Gabriele Grillo, D. Monticelli   +2 more
semanticscholar   +1 more source

CovLets

ACM Trans. Multim. Comput. Commun. Appl., 2020
State-of-the-art techniques for image and video classification take a bottom-up approach where local features are aggregated into a global final representation.
Zhaoxin Zhang, Changyong Guo, Fanzhi Meng, Taizhong Xu, Junkai Huang   +4 more
semanticscholar   +1 more source

Information Geometry of Exponentiated Gradient: Convergence Beyond L-Smoothness

Scale Space and Variational Methods in Computer Vision
We study the minimization of smooth, possibly nonconvex functions over the positive orthant, a key setting in Poisson inverse problems, using the exponentiated gradient (EG) method.
Yara Elshiaty, Ferdinand Vanmaele, Stefania Petra   +2 more
semanticscholar   +1 more source